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Finding the Fourth Proportional to 32,778.57, 45,234.33 and 18,634.14

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Solution

The fourth proportional to 32,778.57, 45,234.33 and 18,634.14 is: 25,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,778.57 : 45,234.33 = 18,634.14 : x
  2. Step 2: Convert to fraction form
    32,778.57/45,234.33 = 18,634.14/x
  3. Step 3: Cross multiply
    32,778.57x = 45,234.33 × 18,634.14
  4. Step 4: Simplify right side
    32,778.57x = 842,902,838.03
  5. Step 5: Solve for x
    x = 842,902,838.03/32,778.57
  6. Step 6: Final answer
    x = 25,715.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.